Ratios and Proportions Review

A ratio compares two amounts and is always written in its most simple form.

Recall:

What is a ratio?​

​

Multiple Choice

What is the ratio of red apples to green apples?

• 7 to 3

• 4 to 7

• 4 to 3

• 3 to 4

Multiple Choice

Simplify the ratio 8:4

• 4:2

• 2:1

• 1:2

• 4:1

Ratios

• Comparison of 2 quantities

• Can be same or different units

• Written in 3 ways - 2 to 3, 2:3, 2/3

​

• The number on the left is the first number

• The number on the right is the second number

Multiple Choice

A comparison of two quantities by division

• Multiplicative Inverse

• Fraction

• Multiplicative Inverse

• Proportion

• Ratio

Multiple Choice

a way to compare two different quantities

• vertical line

• unit price

• ratio

• corresponding

Multiple Choice

A rate is a ratio that compares

• A part to a part

• A part to a whole

• Quantities with different units

• Quantities with the same units

Multiple Choice

When dealing with ratios, it is important to remember that...

• You can write ratios however you want

• Order matters

• Ratios are not like fractions

• You can only write ratios one way

Multiple Choice

When finding a UNIT RATE, you should __________ the top number by the bottom number.

• Add

• Subtract

• Multiply

• Divide

Multiple Choice

"Find the speed in miles per hour". Which unit should go on the bottom?

• speed

• miles

• hour

• distance

Multiple Choice

A unit rate is a rate in which the unit in the denominator is:

• 0

• 3

• 1

• 2

To find a unit rate, you divide both numbers by the number you want to equal 1.

• Ex. 405 miles in 9 hours

• Ex. 4 packs of batteries is $22.16

Math Response

Harry mowed eight lawns and earned $96. How much did he earn for each lawn?

Type answer here

Correct Answer: 12

Deg^°

Rad

What are equivalent ratios?

Multiple Choice

Equivalent means....

• very important

• one

• equal to

• to solve

Multiple Choice

What is an equivalent ratio?

• Two or more ratios with the same values

• Two or more ratios that have different values

• Two or more ratios that equal 1

• Two or more ratios that have a denominator of 1

Multiple Select

Find two equivalent ratios for 3 : 4 using multiplication

• 6 : 8

• 6 : 12

• 9 : 12

Multiple Choice

Which ratio is equivalent to 3:4

• 12:14

• 6:8

• 4:3

• 20:15

Multiple Select

How can we find equivalent ratios? ( choose 2 answers )

• Adding

• Dividing

• Subtracting

• Multiplying

Multiple Choice

Is this an example of an equivalent ratio?

• True

• False

Multiple Choice

Is this an example of an equivalent ratio?

• True

• False

Multiple Choice

Is this an example of an equivalent ratio?

• True

• False

Multiple Choice

A school sells raffle tickets to raise money. In the table, x represents the number of tickets sold and y represents the money they earn. How much money would they earn if they sold 100 tickets?

• $175

• $225

• $400

• $500

Math Response

The table shows the number of pages Blaine can read in his book. How many pages can he read in 20 minutes?

Type answer here

Correct Answer: 60

Deg^°

Rad

Multiple Choice

Find the missing value.

• 5

• 10

• 15

• 28

​A proportion is 2 equivalent ratios.

​We can use proportional reasoning to solve problems.

Labeling

Label the parts of this proportion

Drag labels to their correct position on the image

Ratio 1

Equal Sign

Ratio 2

Labeling

Label the correct cross products

Drag labels to their correct position on the image

16

15

Multiple Choice

$$\frac{2}{3}=\frac{4}{6}$$  

Proportional?

• True

• False

Multiple Choice

$$\frac{4}{7}=\frac{2}{4}$$  

Proportional?

• True

• False

Using Mental Math

Fill in the Blanks

$\frac{5}{8}=\frac{20}{d}$  

Fill in the Blanks

$\frac{7}{x}=\frac{14}{10}$  

• Cross multiply

• Divide by 16

• Simplify

• Answer can be written as a decimal or improper fraction

• 
  

• Cross multiply

• Divide by 24

• Simplify

• 
  

Looking at Proportions

Multiple Choice

What is the first step in using the cross multiply and divide method to solve this proportion?

$$\frac{k}{4}=\frac{3}{8}$$  

• $$4k=3\cdot8$$  

• $$3\cdot4=8\cdot k$$  

Multiple Choice

$$\frac{7}{3}=\frac{4}{t}$$  

• $$t=\frac{12}{7}$$  

• $$t=\frac{28}{3}$$  

• $$t=1.7$$  

• $$t=9.3$$  

Multiple Choice

Which of the following would be a correct proportion to solve the problem?

• $$\frac{3}{16}=\frac{x}{5}$$

• $$\frac{16}{3}=\frac{5}{x}$$

• $$\frac{3}{16}=\frac{5}{x}$$

Drag and Drop

When Solving ​

Placeholder

, there are 3 different Strategies

1) You can look for a HORIZONTAL relationship. This is also called scale ​

Placeholder

2) You can look for a VERTICAL relationship. Always point the arrow to the ​

Placeholder

.

3) You can look for a DIAGONAL relationship. This is called ​

Placeholder

product. The​

Placeholder

for solving is the "bat and ball."

Drag these tiles and drop them in the correct blank above

Proportions

factor.

variable

cross

shortcut

Multiple Choice

Use a proportion to solve the problem

• 22 miles

• 230 miles

• 20 miles

• 115 miles